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What is the Least Common Multiple of 56836 and 56852?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 56836 and 56852 is 807810068.

LCM(56836,56852) = 807810068

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Least Common Multiple of 56836 and 56852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56836 and 56852, than apply into the LCM equation.

GCF(56836,56852) = 4
LCM(56836,56852) = ( 56836 × 56852) / 4
LCM(56836,56852) = 3231240272 / 4
LCM(56836,56852) = 807810068

Least Common Multiple (LCM) of 56836 and 56852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56836 and 56852. First we will calculate the prime factors of 56836 and 56852.

Prime Factorization of 56836

Prime factors of 56836 are 2, 13, 1093. Prime factorization of 56836 in exponential form is:

56836 = 22 × 131 × 10931

Prime Factorization of 56852

Prime factors of 56852 are 2, 61, 233. Prime factorization of 56852 in exponential form is:

56852 = 22 × 611 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 56836 and 56852.

LCM(56836,56852) = 22 × 131 × 10931 × 611 × 2331
LCM(56836,56852) = 807810068